What is the 473rd prime number?
The 473rd prime number is 3359. The next prime is 3361 (a gap of 2) and the one before is 3347.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 473rd one is 3359.
- 2
3359 is prime because no prime up to ā3359 ā 57.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 473rd prime is close to 473 Ć ln(473) ā 2913, and here it is 3359.
- 4
3359 is a twin prime: 3359 and 3361 are both prime.
Primes around the 473rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 470 | 3331 | 2 |
| 471 | 3343 | 12 |
| 472 | 3347 | 4 |
| 473 | 3359 | 12 |
| 474 | 3361 | 2 |
| 475 | 3371 | 10 |
| 476 | 3373 | 2 |
Questions
What is the 473rd prime number?
3359.
Which prime number is 3359?
3359 is the 473rd prime number.
What is the sum of the first 473 primes?
730,868.